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Twee---2.7.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : CSR030+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:40:48 AM UTC 2026

% Result   : Theorem 0.21s 0.29s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR030+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18  % Computer : n017.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 22:06:51 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.29  Command-line arguments: --no-flatten-goal
% 0.21/0.29  
% 0.21/0.29  % SZS status Theorem
% 0.21/0.29  
% 0.21/0.29  % SZS output start Proof
% 0.21/0.29  Axiom 1 (query30): mtvisible(c_tptp_member3393_mt) = true.
% 0.21/0.29  Axiom 2 (just11): genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt) = true.
% 0.21/0.29  Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 0.21/0.29  Axiom 4 (just12): ifeq(mtvisible(c_tptp_spindleheadmt), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true) = true.
% 0.21/0.29  Axiom 5 (just7): ifeq(tptptypes_6_388(X, Y), true, tptptypes_5_387(X, Y), true) = true.
% 0.21/0.29  Axiom 6 (just9): ifeq(tptptypes_7_389(X, Y), true, tptptypes_6_388(Y, X), true) = true.
% 0.21/0.29  Axiom 7 (just49): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 0.21/0.29  
% 0.21/0.29  Goal 1 (query30_1): tptptypes_5_387(X, c_pushingwithopenhand) = true.
% 0.21/0.29  The goal is true when:
% 0.21/0.29    X = c_tptpcol_16_4451
% 0.21/0.29  
% 0.21/0.29  Proof:
% 0.21/0.29    tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand)
% 0.21/0.29  = { by axiom 3 (ifeq_axiom) R->L }
% 0.21/0.29    ifeq(true, true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 0.21/0.29  = { by axiom 6 (just9) R->L }
% 0.21/0.29    ifeq(ifeq(tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 0.21/0.29  = { by axiom 3 (ifeq_axiom) R->L }
% 0.21/0.29    ifeq(ifeq(ifeq(true, true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 0.21/0.29  = { by axiom 7 (just49) R->L }
% 0.21/0.29    ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3393_mt), true, ifeq(genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt), true, mtvisible(c_tptp_spindleheadmt), true), true), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 0.21/0.29  = { by axiom 2 (just11) }
% 0.21/0.29    ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3393_mt), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 0.21/0.29  = { by axiom 1 (query30) }
% 0.21/0.29    ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 0.21/0.29  = { by axiom 3 (ifeq_axiom) }
% 0.21/0.29    ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 0.21/0.29  = { by axiom 3 (ifeq_axiom) }
% 0.21/0.29    ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 0.21/0.29  = { by axiom 4 (just12) }
% 0.21/0.29    ifeq(ifeq(true, true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 0.21/0.29  = { by axiom 3 (ifeq_axiom) }
% 0.21/0.29    ifeq(tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 0.21/0.29  = { by axiom 5 (just7) }
% 0.21/0.29    true
% 0.21/0.29  % SZS output end Proof
% 0.21/0.29  
% 0.21/0.29  RESULT: Theorem (the conjecture is true).
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